Respuesta :

Answer:

[tex]y=\frac{-3}{5}x+3[/tex]

I don't see this in any of your choices.

Please be sure the problem and choices are as you want them to be seen by others. Thanks kindly.  

I do hope my answer is helpful.

Step-by-step explanation:

[tex]3x+5y=15[/tex]

We want to get the term that contains [tex]y[/tex] by itself.

This means we want to get [tex]5y[/tex] by itself first.

To do this I need to get rid of the plus [tex]3x[/tex] on that side.

I will do the inverse operation of that; I will subtract 3x on both sides.

[tex]3x+5y=15[/tex]

-3x             -3x

[tex]5y=15-3x[/tex]

[tex]5y=+15-3x[/tex]

[tex]5y=-3x+15[/tex] since addition is commutative.

Now we have the 5y term by itself. We want the factor y in 5y by itself.

To undo multiplication you must divide.  We will divide both sides by 5:

[tex]5y=-3x+15[/tex]

------------------------------

            5

[tex]\frac{5y}{5}=\frac{-3x+15}{5}[/tex]

[tex]y=\frac{-3x}{5}+\frac{15}{5}[/tex]

[tex]y=\frac{-3}{5}x+3[/tex]

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